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10 December, 00:48

Ok so this is so confusing The volume of water in a rectangular swimming pool can be modeled by the polynomial 2x3 _ 9x2 + 7x + 6. If the depth of the pool is given by the polynomial 2x + 1, what polynomials express the length and width of the pool? Why couldn't they just give me the volume?

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  1. 10 December, 01:58
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    The volume formula is V = l x L x H, l=width, L=Length, H = Depth, so

    2x3 _ 9x2 + 7x + 6 = l x L x (2x + 1), because H = (2x + 1), so

    l x L = (2x3 _ 9x2 + 7x + 6) / (2x + 1) = (2x3 _ 9x2 + 7x + 6) X [1 / (2x + 1) ]

    case1: l = (2x3 _ 9x2 + 7x + 6) or L = 1 / (2x + 1), case2: L = (2x3 _ 9x2 + 7x + 6) or l = 1 / (2x + 1)

    the why question:

    perhaps there is similarity of value between volume and l, or volume and L
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